HSG-CO.B.7

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- HSG-CO.B.6Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
- HSG-CO.B.7Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
- HSG-CO.B.8Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

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## HSG-CO.B.7

## Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

12 Lesson(s)

### Discovering Triangle Congruence Shortcuts

Geometry »
Unit: Discovering and Proving Triangle Properties

Geometry »
Unit: Discovering and Proving Triangle Properties

Big Idea:

#### Through construction, students will work in pairs to test "shortcuts" to use when proving triangles congruent.

Standards:

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(14)

Resources
(14)

Reflections
(1)

### Tremendous Triangles Projects

Geometry »
Unit: Tremendous Triangles

Geometry »
Unit: Tremendous Triangles

Big Idea:

#### It's students' time to shine! Students develop their own problem and then shoot a video to explain how to prove their triangles congruent.

Standards:

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(9)

Resources
(12)

Reflections
(1)

Big Idea:

#### Students will write formal proofs showing how triangles are congruent when two corresponding angles and the included side are congruent.

Standards:

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(3)

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(18)

Reflections
(1)

Big Idea:

#### Students will build on prior knowledge to develop a definition of congruence in terms of rigid motion.

Standards:

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(9)

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(20)

Reflections
(1)

### Fall Interim Assessment

Geometry »
Unit: Fall Interim Assessment: Geometry Intro, Constructions and Rigid Motion

Geometry »
Unit: Fall Interim Assessment: Geometry Intro, Constructions and Rigid Motion

Big Idea:

#### This is a comprehensive assessment of Units 1, 2 and 3.

Standards:

Favorites
(3)

Resources
(6)

Reflections
(1)

### Rigid Motion, Congruent Triangles, and Proof

Geometry »
Unit: Polygons and Congruent Triangle Proofs

Geometry »
Unit: Polygons and Congruent Triangle Proofs

Big Idea:

#### Using the method of flow chart proofs, students begin to develop the skills necessary to understand and create congruent triangle proofs.

Standards:

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(2)

Resources
(14)

Reflections
(1)

Big Idea:

#### Students will work with a partner to discover two more theorems as they explore why ASA and AAS congruence proves triangles are congruent.

Standards:

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(4)

Resources
(22)

Reflections
(2)

Big Idea:

#### Students will write formal proofs showing how triangles are congruent when all three corresponding sides are congruent.

Standards:

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(2)

Resources
(13)

Big Idea:

#### This is a comprehensive assessment of all content learned to date.

Standards:

Favorites
(1)

Resources
(12)

Reflections
(1)

### Analyzing the Symmetry of a Polygon

Geometry »
Unit: Congruence and Rigid Motions

Geometry »
Unit: Congruence and Rigid Motions

Big Idea:

#### Students use the symmetry of a polygon to deduce its properties while continuing to develop their ability to use transformations. Now, just where does that line of symmetry have to be?

Standards:

Favorites
(2)

Resources
(27)

Reflections
(1)

### End of Year Assessment Review Day 1 of 4

Geometry »
Unit: Final Assessment

Geometry »
Unit: Final Assessment

Big Idea:

#### In this lesson, students practice problems involving concepts from the units on constructions, transformations and rigid motions in order to review for the final assessment.

Standards:

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(1)

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(9)

Big Idea:

#### Mathematicians Wanted....Apply Here. In this lesson students apply what they have learned in the Quadrilaterals Unit to novel problems.

Standards:

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(5)

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Kindergarten

First Grade

Second Grade

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HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School